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Reals and Forcing with an Elementary Topos

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Logic from Computer Science

Part of the book series: Mathematical Sciences Research Institute Publications ((MSRI,volume 21))

Abstract

Certain special types of categories, called Toposes, can formulate basic facts about sheaf theory in topology and algebraic geometry and thus clarify the role of geometry in independence proofs by forcing. They also establish a remarkable connection with intuitionist logic. This paper will summarize these results.

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© 1992 Springer-Verlag New York, Inc

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Mac Lane, S., Moerdijk, I. (1992). Reals and Forcing with an Elementary Topos. In: Moschovakis, Y.N. (eds) Logic from Computer Science. Mathematical Sciences Research Institute Publications, vol 21. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-2822-6_15

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  • DOI: https://doi.org/10.1007/978-1-4612-2822-6_15

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-7685-2

  • Online ISBN: 978-1-4612-2822-6

  • eBook Packages: Springer Book Archive

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